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Given rational numbers: 2/3 + 4/3

In order to add or subtract given rational numbers, they should always have a common denominator.

In the given question, both 2/3 and 4/3 have common denominator as ‘3’.

Hence we can simply add the numbers in the numerator.

This gives: 2/3 + 4/3 = (2 + 4)/3 = 6/3

The fraction 6/3 can be reduced further by dividing top and bottom by their common factor ‘3’.

Hence 2/3 + 4/3 = 6/3 = 2/1.

Given rational numbers: 7/6 – 5/6

In order to add or subtract given rational numbers, they should always have a common denominator.

In the given question, both 7/6 and 5/6 have common denominator as ‘6’.

Hence we can simply subtract the numbers in the numerator.

This gives: 7/6 – 5/6 = (7 - 5)/6 = 2/6.

The fraction 2/6 can be reduced further by dividing top and bottom by their common factor ‘2’.

Hence 7/6 – 5/6 = 2/6 = 1/3.